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Finding the Fourth Proportional to 6,996.98, 9,655.16 and 5,673.90

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Solution

The fourth proportional to 6,996.98, 9,655.16 and 5,673.90 is: 7,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.98 : 9,655.16 = 5,673.90 : x
  2. Step 2: Convert to fraction form
    6,996.98/9,655.16 = 5,673.90/x
  3. Step 3: Cross multiply
    6,996.98x = 9,655.16 × 5,673.90
  4. Step 4: Simplify right side
    6,996.98x = 54,782,412.32
  5. Step 5: Solve for x
    x = 54,782,412.32/6,996.98
  6. Step 6: Final answer
    x = 7,829.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.